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d1i1m1o1n [39]
3 years ago
10

Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 12 centime

ters. He will make the "X" by stretching red ribbon diagonally from corner to corner
Mathematics
1 answer:
zheka24 [161]3 years ago
6 0

Answer:

34 cm

Step-by-step explanation:

The actual question is How many inches of ribbon Peter will need to make the "X".

Using the Pythagorean theorem, the length of the diagonal of a square with 12 cm sides is:

d^2=12^2+12^2\\d=\sqrt{288}\\ d=16.97\ cm

Since the "X" requires two diagonals, the length of ribbon required is:

L=2*16.97\\L=34\ cm

The length required, rounded to the nearest centimeter, is 34 cm.

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The equation y 4.9t 2 3.5t 2.4 relates the height y in meters to the elapsed time t in seconds for a ball thrown downward at 3.5
tamaranim1 [39]

Answer:

t \approx 0.43\,s

Step-by-step explanation:

The vertical displacement function is y(t) = -4.9\cdot t^{2}-3.5\cdot t + 2.4, where y(t) is measured in meters and t in seconds. Ball hits the ground when y(t) = 0. That is:

-4.9\cdot t^{2}-3.5\cdot t + 2.4 = 0

Whose roots can be found by using the General Formula for Second-Order Polynomials:

t_{1,2} = \frac{3.5\pm \sqrt{(-3.5)^{2}-4\cdot (-4.9)\cdot (2.4)} }{2\cdot (-4.9)}

Solutions of this polynomial are:

t_{1} \approx 0.43\,s,t_{2} \approx -1.14\,s

Only the first root is physically consistent.

3 0
3 years ago
There are 65 people who want to go on a tea cups ride at an amusement park. There are 10 tea cups that each seat 4 people. How m
Vikki [24]
25 people will wait for the next ride
3 0
3 years ago
Solve for x ax+3b=2f
Paladinen [302]

You said                                  ax + 3b = 2f

Subtract  3b  from each side:  ax         = 2f - 3b

Divide each side by 'a' :             x        = (2f - 3b) / a 

3 0
3 years ago
What is the next number in the sequence? 3, 6, 12, , ... place an x by the pattern of the sequence. add 2 subtract 2 times 2?
ch4aika [34]
3,6,12...

this is a geometric sequence with a common ratio of 2. That means u multiply each term by 2 to find the next term.

start with 3
3 * 2 = 6
6 * 2 = 12
12 * 2 = 24...this would be ur next term

so ur answer is : multiply by 2
8 0
3 years ago
Assume that you ate 3/4 of a bag of popcorn and the person next to you ate 4/5 of a bag of popcorn.
AlekseyPX

Answer: The person next to you ate more popcorn.

Step-by-step explanation:

3 divided by 4 is 0.75, which is equivalent to 75%. 4 divided by 5 is 0.8, which is equivalent to 80%. Now that you've calculated the percentages of how much they ate, you can assume that 80 > 75 (80 is greater than 75).

6 0
3 years ago
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